Azimuth fractional transformation of the fractional chirp scaling algorithm (FrCSA)

A. Amein, J.J. Soraghan

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.
LanguageEnglish
Pages2871-2879
Number of pages8
JournalIEEE Transactions on Geoscience and Remote Sensing
Volume44
Issue number10
DOIs
Publication statusPublished - Oct 2006

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azimuth
Fourier transform
Fourier transforms
Fast Fourier transforms
Radar imaging
Synthetic aperture radar
synthetic aperture radar

Keywords

  • shirp scaling
  • fractional Fourier
  • high resolution

Cite this

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abstract = "The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.",
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Azimuth fractional transformation of the fractional chirp scaling algorithm (FrCSA). / Amein, A.; Soraghan, J.J.

In: IEEE Transactions on Geoscience and Remote Sensing, Vol. 44, No. 10, 10.2006, p. 2871-2879.

Research output: Contribution to journalArticle

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AU - Amein, A.

AU - Soraghan, J.J.

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AB - The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.

KW - shirp scaling

KW - fractional Fourier

KW - high resolution

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